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\newtheorem{axiom}[theorem]{Axiom}
\newtheorem{case}[theorem]{Case}
\newtheorem{claim}[theorem]{Claim}
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\newtheorem{condition}[theorem]{Condition}
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\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{exercise}[theorem]{Exercise}
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\newtheorem{notation}[theorem]{Notation}
\newtheorem{problem}[theorem]{Problem}
\newtheorem{proposition}[theorem]{Proposition}
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\begin{document}
Las soluciones de la ecuaci\'{o}n $2\left\vert 3x-1\right\vert +2=10$
son:\medskip\newline\qquad a)$x=\dfrac{5}{3},x=-1$ \qquad b) $x=1,x=-\dfrac
{5}{3}$ \bigskip\newline\qquad c) $x=\dfrac{5}{3},x=-\dfrac{7}{3}$ \qquad d)
$x=\dfrac{7}{3},x=-\dfrac{5}{3}$

Las soluciones de la ecuaci\'{o}n $2\left\vert 2x-1\right\vert +1=10$
son:\medskip\newline\qquad a)$x=\dfrac{11}{4},x=-\dfrac{7}{4}$ \qquad b)
$x=\dfrac{7}{4},x=-\dfrac{11}{4}\bigskip$\newline \qquad c) $x=\dfrac{7}%
{4},x=-\dfrac{7}{4}$ \qquad d) $x=\dfrac{11}{4},x=\dfrac{7}{4}$

Las soluciones de la ecuaci\'{o}n $3\left\vert x-7\right\vert =10$
son:$\medskip$\newline$\qquad$a) $x=\dfrac{31}{3},x=\dfrac{11}{3}\qquad$b)
$x=-\dfrac{31}{3},x=-\dfrac{11}{3}\bigskip$\newline$\qquad$c) $x=\dfrac{31}%
{3},x=-\dfrac{11}{3}\qquad$d) $x=-\dfrac{31}{3},x=\dfrac{11}{3}$

Las soluciones de la ecuaci\'{o}n $5\left\vert 6x-7\right\vert =2$
son:\medskip\newline\qquad a)$x=\dfrac{37}{30},x=\dfrac{11}{10}$ \qquad b)
$x=-\dfrac{37}{30},x=-\dfrac{11}{10}\bigskip$\newline \qquad c) $x=\dfrac
{37}{30},x=-\dfrac{11}{10}$ \qquad d) $x=-\dfrac{37}{30},x=\dfrac{11}{30}$

Las soluciones de la ecuaci\'{o}n $5\left\vert x-7\right\vert =4$
son:\medskip\newline\qquad a)$x=\dfrac{39}{5},x=\dfrac{31}{5}$ \qquad b)
$x=-\dfrac{39}{5},x=\dfrac{31}{5}\bigskip$\newline \qquad c) $x=\dfrac{39}%
{5},x=-\dfrac{31}{5}$ \qquad d) $x=-\dfrac{39}{5},x=-\dfrac{31}{5}$

Las soluciones de la ecuaci\'{o}n $5\left\vert x-4\right\vert =1$
son:\bigskip\newline\qquad a) $x=\dfrac{21}{5},x=\dfrac{19}{5}$\qquad b)
$x=-\dfrac{21}{5},x=-\dfrac{19}{5}\bigskip$\newline\qquad c) $x=\dfrac{21}%
{5},x=-\dfrac{19}{5}$\qquad d) $x=-\dfrac{21}{5},x=\dfrac{19}{5}$

Las soluciones de la ecuaci\'{o}n $4\left\vert x-1\right\vert =3$
son:\bigskip\newline\qquad a) $x=-\dfrac{1}{4},x=\dfrac{1}{4}$\qquad b)
$x=-\dfrac{1}{2},x=-\dfrac{1}{4}\bigskip$\newline\qquad c) $x=\dfrac{1}%
{4},x=-\dfrac{1}{2}$\qquad d) $x=\dfrac{1}{2},x=\dfrac{1}{4}$ 

Las soluciones de la ecuaci\'{o}n $2\left\vert x+4\right\vert =1$
son:\bigskip\newline\qquad a) $x=-\dfrac{7}{2},x=-\dfrac{9}{2}\qquad$b)
$x=\dfrac{7}{2},x=\dfrac{9}{2}\bigskip$\newline\qquad c) $x=\dfrac{7}%
{2},x=-\dfrac{9}{2}$\qquad d) $x=-\dfrac{7}{2},x=\dfrac{9}{2}$

Las soluciones de la ecuaci\'{o}n $3\left\vert x+2\right\vert =1$
son:\bigskip\newline\qquad a) $x=-\dfrac{5}{3},x=-\dfrac{7}{3}$\qquad b)
$x=\dfrac{5}{3},x=-\dfrac{7}{3}\bigskip$\newline\qquad c) $x=\dfrac{5}%
{3},x=\dfrac{7}{3}$\qquad d) $x=-\dfrac{5}{3},x=\dfrac{7}{3}$ 

Las soluciones de la ecuaci\'{o}n $6\left\vert x-3\right\vert =5$
son:\bigskip\newline\qquad a) $x=\dfrac{13}{6},x=\dfrac{23}{6}$\qquad b)
$x=-\dfrac{13}{6},x=-\dfrac{23}{6}\bigskip$\newline\qquad c) $x=\dfrac{13}%
{6},x=-\dfrac{23}{6}$\qquad d) $x=-\dfrac{13}{6},x=\dfrac{23}{6}$

Las soluciones de la ecuaci\'{o}n $3\left\vert x-2\right\vert =7$
son:\bigskip\newline\qquad a) $x=-\dfrac{1}{3},x=\dfrac{13}{3}$\qquad b)
$x=-\dfrac{1}{3},x=-\dfrac{13}{3}\bigskip$\newline\qquad c) $x=\dfrac{1}%
{3},x=-\dfrac{13}{3}$\qquad d) $x=\dfrac{1}{3},x=\dfrac{13}{3}$

Las soluciones de la ecuaci\'{o}n $3\left\vert x+5\right\vert =5$
son:\bigskip\newline\qquad a) $x=-\dfrac{5}{2},x=-\dfrac{15}{2}$\qquad b)
$x=\dfrac{5}{2},x=\dfrac{15}{2}\bigskip$\newline\qquad c) $x=\dfrac{5}%
{2},x=-\dfrac{15}{2}$\qquad d) $x=-\dfrac{5}{2},x=\dfrac{15}{2}$

Las soluciones de la ecuaci\'{o}n $7\left\vert x-4\right\vert =3$
son:\bigskip\newline\qquad a) $x=\dfrac{25}{7},x=\dfrac{31}{7}$\qquad b)
$x=-\dfrac{25}{7},x=-\dfrac{31}{7}\bigskip$\newline\qquad c) $x=\dfrac{25}%
{7},x=-\dfrac{31}{7}$\qquad d) $x=-\dfrac{25}{7},x=\dfrac{31}{7}$

Las soluciones de la ecuaci\'{o}n $5\left\vert x-2\right\vert =4$
son:\bigskip\newline\qquad a) $x=\dfrac{14}{5},x=\dfrac{6}{5}$\qquad b)
$x=-\dfrac{14}{5},x=-\dfrac{6}{5}\bigskip$\newline\qquad c) $x=\dfrac{14}%
{5},x=-\dfrac{6}{5}$\qquad d) $x=-\dfrac{14}{5},x=\dfrac{6}{5}$

Las soluciones de la ecuaci\'{o}n $7\left\vert x+1\right\vert =9$
son:\bigskip\newline\qquad a) $x=\dfrac{2}{7},x=-\dfrac{16}{7}$\qquad b)
$x=-\dfrac{2}{7},x=-\dfrac{16}{7}\bigskip$\newline\qquad c) $x=-\dfrac{2}%
{7},x=\dfrac{16}{7}$\qquad d) $x=\dfrac{2}{7},x=\dfrac{16}{7}$


\end{document}